#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } int main() { ll N, M; cin >> N >> M; vector u(M); vector v(M); for (ll i = 0; i < M; i++) { cin >> u[i] >> v[i]; u[i]--; v[i]--; } vector> graph(N, vector(0)); for (ll i = 0; i < M; i++) { graph[u[i]].push_back(v[i]); graph[v[i]].push_back(u[i]); } vector dist(N, -1); dist[0] = 0; queue que; que.push(0); while (que.size()) { ll p = que.front(); que.pop(); for (ll x : graph[p]) { if (dist[x] != -1) { continue; } dist[x] = dist[p] + 1; que.push(x); } } vector ep(N + 1, 0); for (ll i = 1; i < N; i++) { if (dist[i] != -1) { ep[dist[i]]++; } } ll now_even = 1; ll now_odd = 0; for (ll i = 1; i <= N; i++) { if (i % 2 == 1) { now_odd += ep[i]; cout << now_odd << endl; } else { now_even += ep[i]; cout << now_even << endl; } } }